Highest Common Factor of 4039, 8617 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 4039, 8617 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 4039, 8617 is 7 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 4039, 8617 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 4039, 8617 is 7.
HCF(4039, 8617) = 7
HCF of 4039, 8617 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4039, 8617 is 7.
Highest Common Factor of 4039,8617 is 7
Step 1: Since 8617 > 4039, we apply the division lemma to 8617 and 4039, to get
8617 = 4039 x 2 + 539
Step 2: Since the reminder 4039 ≠ 0, we apply division lemma to 539 and 4039, to get
4039 = 539 x 7 + 266
Step 3: We consider the new divisor 539 and the new remainder 266, and apply the division lemma to get
539 = 266 x 2 + 7
We consider the new divisor 266 and the new remainder 7, and apply the division lemma to get
266 = 7 x 38 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 4039 and 8617 is 7
Notice that 7 = HCF(266,7) = HCF(539,266) = HCF(4039,539) = HCF(8617,4039) .
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Frequently Asked Questions on HCF of 4039, 8617 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 4039, 8617?
Answer: HCF of 4039, 8617 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4039, 8617 using Euclid's Algorithm?
Answer: For arbitrary numbers 4039, 8617 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.